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Simplifying 4i(4 + -9i) = 0 (4 * 4i + -9i * 4i) = 0 (16i + -36i2) = 0 Solving 16i + -36i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '4i'. 4i(4 + -9i) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(4 + -9i)' equal to zero and attempt to solve: Simplifying 4 + -9i = 0 Solving 4 + -9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9i = 0 + -4 -9i = 0 + -4 Combine like terms: 0 + -4 = -4 -9i = -4 Divide each side by '-9'. i = 0.4444444444 Simplifying i = 0.4444444444Solution
i = {0, 0.4444444444}
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